Information
Code | MT111 |
Name | Linear Algebra - I |
Term | 2023-2024 Academic Year |
Semester | 1. Semester |
Duration (T+A) | 3-0 (T-A) (17 Week) |
ECTS | 4 ECTS |
National Credit | 3 National Credit |
Teaching Language | Türkçe |
Level | Lisans Dersi |
Type | Normal |
Mode of study | Yüz Yüze Öğretim |
Catalog Information Coordinator | Dr. Öğr. Üyesi ELA AYDIN |
Course Instructor |
Dr. Öğr. Üyesi ELA AYDIN
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To give insight and skill about the concrete aspects of linear algebra,
Course Content
The content of this course is matrices and the systems of homogeneous linear equations , solve the systems using matrices, vector spaces and abstract mathematical concepts ,
Course Precondition
None.
Resources
Arif Sabuncuoğlu, Lineer Cebir, Nobel yayın dağıtım,2000.
Notes
Bernard Kolman, David R. Hill, Lineer Cebir ((Translation) Palme Yayıncılık Press,2000.
Course Learning Outcomes
Order | Course Learning Outcomes |
---|---|
LO01 | Recognizes matrices and perform matrix operations. |
LO02 | Bring the matrices to echelon form through Gauss elimination and Gauss-Jordan reduction. |
LO03 | Find the inverses of matrices and use them in solving the systems. |
LO04 | Calculate determinants. |
LO05 | Solve the systems using Cramer s rule. |
LO06 | Plot vectors on plane or in spacesand perform vector operations. |
LO07 | Make use of basic concepts and terms of vector spaces. |
LO08 | Write linear span space. |
LO09 | Determine the linear dependence or independence of vectors. |
Relation with Program Learning Outcome
Order | Type | Program Learning Outcomes | Level |
---|---|---|---|
PLO01 | Bilgi - Kuramsal, Olgusal | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | 4 |
PLO02 | Bilgi - Kuramsal, Olgusal | Emphasize the importance of Statistics in life | 3 |
PLO03 | Bilgi - Kuramsal, Olgusal | Define basic principles and concepts in the field of Law and Economics | 2 |
PLO04 | Bilgi - Kuramsal, Olgusal | Produce numeric and statistical solutions in order to overcome the problems | 1 |
PLO05 | Bilgi - Kuramsal, Olgusal | Use proper methods and techniques to gather and/or to arrange the data | 3 |
PLO06 | Bilgi - Kuramsal, Olgusal | Utilize computer systems and softwares | 1 |
PLO07 | Bilgi - Kuramsal, Olgusal | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 1 |
PLO08 | Bilgi - Kuramsal, Olgusal | Apply the statistical analyze methods | 1 |
PLO09 | Bilgi - Kuramsal, Olgusal | Make statistical inference(estimation, hypothesis tests etc.) | 1 |
PLO10 | Bilgi - Kuramsal, Olgusal | Generate solutions for the problems in other disciplines by using statistical techniques | 1 |
PLO11 | Bilgi - Kuramsal, Olgusal | Discover the visual, database and web programming techniques and posses the ability of writing programme | 1 |
PLO12 | Bilgi - Kuramsal, Olgusal | Construct a model and analyze it by using statistical packages | 3 |
PLO13 | Beceriler - Bilişsel, Uygulamalı | Distinguish the difference between the statistical methods | 1 |
PLO14 | Beceriler - Bilişsel, Uygulamalı | Be aware of the interaction between the disciplines related to statistics | 1 |
PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Make oral and visual presentation for the results of statistical methods | 4 |
PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have capability on effective and productive work in a group and individually | 3 |
PLO17 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs | 3 |
PLO18 | Yetkinlikler - Öğrenme Yetkinliği | Develop scientific and ethical values in the fields of statistics-and scientific data collection |
Week Plan
Week | Topic | Preparation | Methods |
---|---|---|---|
1 | System of linear equations | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
2 | Matrices and operations on matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
3 | Properties of matrix operations and special types of matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
4 | Row-Reduced Echelon Matrices and Elementary matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
5 | Gauss elimination and Gauss-Jordan reduction | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
6 | Finding inverses of matrices using elementary operations and solving systems | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
7 | Determinant function and properties | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
9 | Using determinant for solving Cramer systems. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
10 | Vectors in the plane and space | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
11 | Vector spaces | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
12 | Subspaces | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
13 | Linear span | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
14 | Linear dependence and independence | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
15 | Solving problems, final exam | Review of the relevant pages from sources | Öğretim Yöntemleri: Problem Çözme |
16 | Term Exams | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
17 | Term Exams | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
Works | Number | Time (Hour) | Workload (Hour) |
---|---|---|---|
Course Related Works | |||
Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
Assesment Related Works | |||
Homeworks, Projects, Others | 0 | 0 | 0 |
Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
Final Exam | 1 | 18 | 18 |
Total Workload (Hour) | 109 | ||
Total Workload / 25 (h) | 4,36 | ||
ECTS | 4 ECTS |